Answers
Answer:
A) Independent
B) Dependent
Step-by-step explanation:
A) If we take a marble out and put the marble back, it means we have restored the sample to what it was initially and thus it doesn't affect probability of making another selection.
Thus, this is an independent event.
B) A card is taken from a deck of cards without replacement and set aside. Then after that another card is taken from the first sample, this means that the first sample size has now reduced and thus the first card taken affects the probability of the second card to be picked. Thus, this is a dependent event.
Related Questions
Use the quadratic formula to solve x2 - 5x - 2 = 0.
O A. x=5+ y23
O B. x=2+2
O C. - x - 25+, VT
O D. x = 5 + 917
Answers
Answer:
A
Step-by-step explanation:
Note: I suppose you typed the question wrong, thus I calculated the question in the picture
[tex]x = \frac{ - b + - \sqrt{{b}^{2} - 4ac} }{2} \\ = \frac{5 + - \sqrt{25 - 4 \times - 2 \times 1} }{2} \\ = \frac{5 + - \sqrt{25 + 8} }{2} \\ = \frac{5 + - \sqrt{33} }{2} [/tex]
The value of solution of quadratic function is,
⇒ x = (5 ± √33) / 2
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The quadratic function is,
⇒ x² - 5x - 2 = 0
Now, We can simplify as;
⇒ x² - 5x - 2 = 0
⇒ x = - (- 5) ± √(-5)² - 4×1×- 2 / 2
⇒ x = (5 ± √33) / 2
Thus, The value of solution of quadratic function is,
⇒ x = (5 ± √33) / 2
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A road in Europe has a speed limit of 60 kilometers per hour. How many miles per hour is this?
Answers
Answer: 37.28 mph
Step-by-step explanation:
what'd the greatest common factor (GCF) for each pair of numbers. 25, 55 The GCE IS
Answers
Answer:
5
Step-by-step explanation:
5 l 25,55
l 5,11
In the short run, higher demand will not influence the price, it will influence
A. output.
B. price.
ОО
C. investment.
D. input.
Answers
Answer:
c espero q passe na prova tudo de bom pra vc
can someone answer pleaseeee
A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days:
f(n) = 10(1.02)n
Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)
Part C: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent? (4 points)
Answers
Answer:
Step-by-step explanation:
11.04 = 10(1.02)^n
1.104 = 1.02^n
ln 1.104 = ln 1.02^n
ln 1.104 = n ln 1.02
n = ln 1.104/ ln 1.02
n = 4.99630409516
4.99 can be rounded to 5.
So a reasonable domain would be 0 ≤ x < 5
PART B)
f(0) = 10(1.02)^0
f(0) = 10(1)
f(0) = 10
The y-intercept represents the height of the plant when they began the experiment.
f(1) = 10(1.02)^1
f(1) = 10(1.02)
f(1) = 10.2
(1, 10.2)
f(5) = 10(1.02)^5
f(5) = 10(1.1040808)
f(5) = 11.040808
f(1)=10(1.02)^1
f(1)=10.2
Average rate= (fn2-fn1)/(n2-n1)
=11.04-10.2/(5-1)
=0.22
the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.
Consider the sequence Two-fourths, three-fifths, four-sixths, StartFraction 5 Over 7 EndFraction, ellipsis Which statement describes the sequence? The sequence diverges. The sequence converges to 0. The sequence converges to 1. The sequence converges to [infinity].
Answers
Answer:
The sequence converges to 1
Step-by-step explanation:
Given
[tex]\frac{2}{4}. \frac{3}{5}, \frac{4}{6}, \frac{5}{7},...[/tex]
Require
Description of the sequence
The given sequence follows:
[tex]\frac{2}{4}. \frac{3}{5}, \frac{4}{6}, \frac{5}{7},... \frac{n+1}{n+3}[/tex]
i.e.
[tex]T_n = \frac{n+1}{n+3}[/tex]
For every term,
[tex]\frac{n+1}{n+3} < 1[/tex]
In other words,
as the value of n increases, [tex]\frac{n+1}{n+3}[/tex] approaches 1
Hence, (c) is true
The total population of ethnic Southeast Asian students from Burma, Laos, Thailand, Vietnam, and Kampuchea at your university is currently 100 students. The administration of the university wants to increase the diversity of the student body and decides to increase the number of students from Southeast Asia by 8 percent each year, (over the prior year's enrollment) for a period of 15 years. How many students from Southeast Asia will be enrolled at your university after the 15 year period
Answers
Answer:
the number of students that enrolled after 15 year is 317
Step-by-step explanation:
The computation of the number of students that enrolled after 15 year is shown below;
We know that
Future value = Present value × (1 +rate of interest)^number of years
= 100 × (1+8%)^15
= 100 × 1.08^15
= 317
Hence, the number of students that enrolled after 15 year is 317
The same should be considered and relevant
the following triangles are similar by which short cut?
A. SAS
B. ASA
C. SSS
D. not congruent
Answers
Answer: It's A.
You can see in the figure that:
BG=GD
<BGI=<OGD
GI=GO
John is a quarterback. This year, he completed 350 passes, which is 70, percent of all the passes he's attempted this year.
How many passes has John attempted this year?
Answers
Answer:
John attempted 500 passes this year
Step-by-step explanation:
To sum up the question, it is basically asking what number has 350 as 70% of it.
We know that:
350 is 70% of some number.
Convert 70% to fraction:
70% = 7/10
Divide:
350 ÷ 7/10 = 500
So 350 is 70% of 500
CHECK THE ANSWER:
10% of 500 is 50
To find 70% of 500, multiply:
50 x 7 = 350
I really hope this helps! Please ask me in case you’re confused.
Classify each as true or false. if the statement is true, identify the theorem. if the statement is false, give a counter example to show it is false.
Answers
Answer:
a) true.
if 3 can divide a without remainder, then a = 3×x.
doubling that number makes it 2×3×x. because of that still included factor 3, it is still divisible by 3 without remainder.
b) false.
example :
a=6, b=4, c=3
bc = 12
6 can divide 12 without remainder, but 6 cannot do that with 4 and not with 3.
or
a=7, b=35, c=10
bc=350
7 can divide 350 without remainder, and can do that also with 35, but not with 10.
A survey of 1000 young adults nationwide found that among adults aged 18-29, 35% of women and 30% of men had tattoos. Suppose that these percentages are based on random samples of 500 women and 500 men. Using a 2.5% level of significance, can you conclude that among adults aged 18-29, the proportion of all women who have tattoos exceeds the proportion of all men who have tattoos?
Answers
Answer:
95% confidence interval for adults in age group 18-29 is (-0.007, 0.107)
Step-by-step explanation:
Given
N1 = n2 = 500
% of males = 0.30
% of females = 0.35
95% confidence interval
(p2-p1) + z(0.025) sqrt (p1q1/n1 + p2q2/n2) and (p2-p1) - z(0.025) sqrt (p1q1/n1 + p2q2/n2)
Substituting the given values, we get –
(0.35-0.30) + 1.96 sqrt (0.3*0.7/500 + 0.35*0.65/500) and (0.35-0.30) - 1.96 sqrt (0.3*0.7/500 + 0.35*0.65/500)
0.05 + (1.96 *0.029) and 0.05 - (1.96 *0.029)
0.05 + 0.057 and 0.05 – 0.057
(-0.007, 0.107)
3384/24 step by step ......I really need help
Answers
Choose the correct vertex of the function f(x) = x2 - X + 2.
Answers
Answer:
The vertex of the function is [tex](\frac{1}{2}, \frac{7}{4})[/tex]
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
f(x) = x² - X + 2.
Quadratic equation with [tex]a = 1, b = -1, c = 2[/tex]
So
[tex]\Delta = b^2-4ac = (-1)^2 - 4(1)(2) = 1 - 8 = -7[/tex]
[tex]x_{v} = -\frac{(-1)}{2} = \frac{1}{2}[/tex]
[tex]y_{v} = -\frac{-7}{4} = \frac{7}{4}[/tex]
The vertex of the function is [tex](\frac{1}{2}, \frac{7}{4})[/tex]
Please solve the puzzle!
Answers
It looks like the number 6 goes there. It seems to be the only one missing :|
The accompanying observations are numbers of defects in 25 1-square-yard specimens of woven fabric of a certain type: 4, 7, 5, 2, 3, 1, 9, 3, 4, 3, 5, 7, 3, 2, 2, 4, 7, 3, 2, 5, 5, 1, 4, 4, 5. Construct a c chart for the number of defects. (Round your answers to two decimal places.)
x double bar =
LCL =
UCL =
Answers
Answer:
x double bar = 4
LCL = - 2
UCL = 10
Step-by-step explanation:
The C - chart :
The control limit = xbar
xbar = mean = ΣX / n
The upper and lower control limit :
Xbar ± 3√xbar
Xbar = Σx / n = 100 / 25 = 4
Hence,
x double bar = 4
LCL = Xbar - 3√xbar = 4 - 3√4 = 4 - (3*2)
LCL = 4 - 6 = -2
UCL = Xbar + 3√xbar = 4 + 3√4 = 4 + (3*2)
LCL = 4 + 6 = 10
One sixth of the students of a class joined the
sports club. Three fifth of these students opted
to play table tennis. If 6 students play table
tennis, how many students are there in the
class?
Answers
Answer:
5/8 the answer answer answer
What are the solutions to
96x(730) = (85/x)(15)
in decimal form?
Answers
Answer:
[tex]x = 0.1349[/tex]
Step-by-step explanation:
Given
[tex]96x (730) = (85/x)(15[/tex]
Multiply both sides by x
[tex]96x^2 (730) = 85 * 15[/tex]
[tex]96x^2 (730) = 1275[/tex]
Rewrite as:
[tex]96*730x^2 = 1275[/tex]
[tex]70080x^2 = 1275[/tex]
Divide by 70080
[tex]x^2 = 0.01819349315[/tex]
Take square roots of both sides
[tex]x = 0.1349[/tex]
I don’t really understand these
Answers
Answer:
its answer is 3rd part
ABC-FED
Hey buddy I am here to help!
angle ABC = angle FED
Hope this answer helps!
Plz mark me brainliest!
Which of the following is NOT a solution to the linear equation y=3x+2?
Select the correct answer below:
(1,5)
(2,8)
(3,10)
(4,14)
Answers
Answer:
(3,10)
Step-by-step explanation:
When x is 3
[tex]{ \bf{y = 3x + 2}} \\ { \bf{y = (3 \times 3) + 2}} \\ { \bf{y = 11}}[/tex]
y is 11, and this is invalid because it is not at accord.
The correct coordinates which is NOT a solution to the linear equation
y = 3x+2 is,
⇒ (3, 10)
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Linear equation is,
⇒ y = 3x + 2
We know that;
The solution of linear equation is satisfy the eqaution.
Hence, We can check as;
⇒ y = 3x + 2
Put x = 1. y = 5
⇒ 5 = 3 × 1 + 2
⇒ 5 = 5
Thus, It is solution of linear equation.
⇒ y = 3x + 2
Put x = 2. y = 8
⇒ 8 = 3 × 2 + 2
⇒ 8 = 8
Thus, It is solution of linear equation.
⇒ y = 3x + 2
Put x = 3, y = 10
⇒ 10 = 3 × 3 + 2
⇒ 10 ≠ 11
Thus, It is not solution of linear equation.
Thus, The correct coordinates which is NOT a solution to the linear equation y = 3x+2 is,
⇒ (3, 10)
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what are the range and domain?
Answers
Answer:
domain=0
range=2
Step-by-step explanation:
this might be helpful..
60°
b
45°
8
Find a, b, and c.
Plz help :)
Answers
Answer:
step 1 : 8/b = sin 45 degree so b = 11.31
step 2 : a/b = sin 60 degree, so a = 9.8
step 3: c/b = cos 60 degree, so c = 5.66
There are approximately 1.35 billion people in China. If the world population is 7.1 billion people, what percent of the world population is in China?
Answers
Answer:
19.01%
Step-by- step explanation:
[tex]Percentage = \frac{1.35 billion }{ 7.1 billion } \times 100[/tex]
[tex]= \frac{ 1.35 \ times 1, 000, 000, 000} {7.1 \times 1,000,000,000} \times 100\\\\\\=\frac{1.35}{7.1} \times 100 = 19.01 \%[/tex]
Which table represents a linear function?
Answers
Answer:
First table from left.
Step-by-step explanation:
Equal step of a half.
1,7
2,9
3,13
4,21
Step-by-step explanation:This is the linear function graph i plotted the points
Find the equation (in terms of x ) of the line through the points (-2,5) and (3,4)
y=
Answers
Answer:
[tex]{ \boxed{ \bf {general \: equation : y = mx + c}}} \\ m \: is \: the \: slope \\ { \green{slope = \frac{ \triangle \: y}{ \triangle \: x} }} \\ m = \frac{(4 - 5)}{(3 - ( - 2))} \\ m = - \frac{1}{5} \\ \therefore \: { \red{y = - \frac{1}{5} x + c}} \\ consinder \: the \: first \: point : \\ 5 = ( - \frac{1}{5} \times - 2) + c \\ c = \frac{23}{5} \\ \therefore \: { \boxed{ \bf{answer : 5y = - x + 23}}} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]
The diagram shows AFGH. Which term describes point J? G A. Centroid B. Circumcenter C. Orthocenter D. Incenter
Answers
answer is a-circumcenter
The term that describes point J is Centroid.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
Centroid:
The centroid is the point where the three medians of a triangle intersect.
A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side.
The centroid is also the center of mass of a triangle, and it is located two-thirds of the way along each median from the vertex to the midpoint of the opposite side.
Now,
From the figure,
We see that,
J is the point where the three medians of a triangle intersect.
Thus,
The term that describes point J is Centroid.
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Find the equation of the straight line that passes through the points (1, 10) and (3, 2)
ANSWER ASAP
Answers
Answer:
y = -4x+14
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
m = (2-10)/(3-1)
=-8/2
= -4
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -4x+b
Substitute a point into the equation
10 = -4(1)+b
Add 4 to each side
14 = b
y = -4x+14
I’ll give u brainlest please
Answers
Answer:
315
Step-by-step explanation:
the formula is V = B * h
B is the area of the base
V = (1/2)(10)(7) * 9
What is the following sum?
4V5+2V5
Answers
Answer:
Combine 4v_{5} and 2v_{5} to get 6v_{5}.
1. Suppose that a die is rolled twice. What are the possible values that the following random variables can take on: (a) the maximum value to appear in the two rolls: (b) the minimum value to appear in the two rolls; (c) the sum of the two rolls; (d) the value of the first roll minus the value of the second roll? 2. If the die in Problem 1 is assumed fair, calculate the probabilities associated with the random variables in parts (a) through (d).
Answers
Answer:
hat mather chosen to be mather
In the diagram, the lines dividing parking spaces are parallel. The measure of ∠1 is 110°. Identify the measures of each labeled angle to ensure cars can park safely.
Answers
Answer:
1=110 2=70 3=70 4=110 5=110 6=70 7=70 8 =110
Step-by-step explanation:
its the answer